Archive for January, 2008
Sunday, January 27th, 2008
In trigonometry, we are dealing with angles. The value of the angles can be indicated as positive or negative. What does that mean?
Convention:
Positive-valued angle means anti-clockwise rotation (or forward moving direction).
Negative-valued angle means clockwise rotation (or reverse moving direction).
Diagram 1 below shows the convention in graphic form.
Diagram 1
Besides rotational direction, what ...
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Tuesday, January 22nd, 2008
Mathematics has many purposes. The main use is for calculation. However, if we know its principle and how they relate to other design tools, we can create pictures out of it.
Here I demonstrate how the understanding of the principle of trigonometry can be useful in generating graphics. It is actually ...
Posted in Trigonometry | 4 Comments »
Thursday, January 17th, 2008
We have been doing maths and dealing with trigonometric functions.
Computing "sin 45.61" is as simple as pressing the calculator or computer.
The answer is instantaneous.
But then how does the computer computes this "sine" function?
It is in text!
Thanks to past mathematicians and their ideas / research, trigonometric functions can be expressed in another ...
Posted in Trigonometry | 4 Comments »
Monday, January 7th, 2008
I discovered that there are two numbers that amaze me. They are ZERO and ONE.
I had posted interesting facts about the number ZERO some time back. You may visit this post to read about ZERO.
How about the number ONE? What's so interesting?
5 x 1 = 5
35656 x 1 = 35656
What does ...
Posted in Number | 1 Comment »
Wednesday, January 2nd, 2008
Is it possible to find the value of a trigonometric function without finding the actual angle?
Example: sin A = ?
It is possible! But provided some other information is given.
If the question is :
Find sin A without finding the angle A, given that cos A = 4 / 5.
Here, you can ...
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Tuesday, January 1st, 2008
A trigonometric function (for example, sinewave) can be represented by the expression
A sin (2 p f t + K).
In this expression, 3 parameters are needed to define its properties.
The first parameter is the amplitude, represented by the letter"A" in the expression.
The second parameter is the frequency "f".
The last parameter is ...
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